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Finding the Fourth Proportional to 5,181, 7,150.08 and 3,902.59

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Solution

The fourth proportional to 5,181, 7,150.08 and 3,902.59 is: 5,385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181 : 7,150.08 = 3,902.59 : x
  2. Step 2: Convert to fraction form
    5,181/7,150.08 = 3,902.59/x
  3. Step 3: Cross multiply
    5,181x = 7,150.08 × 3,902.59
  4. Step 4: Simplify right side
    5,181x = 27,903,830.71
  5. Step 5: Solve for x
    x = 27,903,830.71/5,181
  6. Step 6: Final answer
    x = 5,385.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.